A multi-site, multi-product supply chain planning problem under demand as well as machine uptime uncertainty has been analyzed in multi-objective Pareto sense in this paper using the fuzzy mathematical programming approach. Fuzzy programming not only keeps the problem size in control which is the prime lacuna of the conventional two stage scenario based stochastic programming approach but also free from any assumption regarding the nature of the distribution of the uncertain parameters. It is seen that the fuzzy approach is generic, relatively simple to use, and can be adapted for bigger size planning problems of industrial scale. We demonstrate the proposed approach on a relatively moderate size planning problem taken from the work of McDonald and Karimi (1997) and discuss various aspects of uncertainty in context of this problem. © 2008 Elsevier B.V. All rights reserved.